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Finding the Fourth Proportional to 9,465.68, 13,075.88 and 8,967.47

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Solution

The fourth proportional to 9,465.68, 13,075.88 and 8,967.47 is: 12,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.68 : 13,075.88 = 8,967.47 : x
  2. Step 2: Convert to fraction form
    9,465.68/13,075.88 = 8,967.47/x
  3. Step 3: Cross multiply
    9,465.68x = 13,075.88 × 8,967.47
  4. Step 4: Simplify right side
    9,465.68x = 117,257,451.41
  5. Step 5: Solve for x
    x = 117,257,451.41/9,465.68
  6. Step 6: Final answer
    x = 12,387.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.